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Finding the Third Proportional to 425,169 and 933,273

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Solution

The third proportional to 425,169 and 933,273 is: 2,048,593.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,169 : 933,273 = 933,273 : x
  2. Step 2: Convert to fraction form
    425,169/933,273 = 933,273/x
  3. Step 3: Cross multiply
    425,169x = 933,273 × 933,273
  4. Step 4: Simplify right side
    425,169x = 870,998,492,529
  5. Step 5: Solve for x
    x = 870,998,492,529/425,169
  6. Step 6: Final answer
    x = 2,048,593.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.